Wobble/nutation of a rotating ellipsoidal Earth with liquid outer core: implementation of a new set of equations describing dynamics of rotating fluids

Seyed-Mahmoud, Behnam (1994) Wobble/nutation of a rotating ellipsoidal Earth with liquid outer core: implementation of a new set of equations describing dynamics of rotating fluids. Masters thesis, Memorial University of Newfoundland.

[English] PDF (Migrated (PDF/A Conversion) from original format: (application/pdf)) - Accepted Version Available under License - The author retains copyright ownership and moral rights in this thesis. Neither the thesis nor substantial extracts from it may be printed or otherwise reproduced without the author's permission. Download (2MB) [English] PDF - Accepted Version Available under License - The author retains copyright ownership and moral rights in this thesis. Neither the thesis nor substantial extracts from it may be printed or otherwise reproduced without the author's permission. (Original Version)

Abstract

In this thesis I implement a new set of scalar equations describing the free oscillations of rotating self-gravitating compressible fluids, to solve for the wobble and inertial modes of a rotating Earth with rigid mantle and liquid core. A Galerkin method is used to integrate these equations in the liquid core. It is shown that by using the divergence theorem it is possible to make use of the 'natural' boundary conditions to reduce the order of the derivatives from second to first in the Galerkin formulation of the governing equations. As a partial test of the reliability of our formulation, the eigenperiods of the Earth's Chandler wobble (CW), nearly diurnal free wobble (NDFW) and some of the other inertial modes are computed for the case of a compressible, but neutrally stratified, core and compared to those for the homogeneous incompressible core model.

Actions (login required)

View Item